PUBLIC SCHOOLS - University of Wisconsin–Milwaukee · PUBLIC SCHOOLS . Math_Pacing Guide Gr ... Chapter 1- Section 3: ... Order of Operations Chapter 1- Section 5: Mental Math Chapter

Math_Pacing Guide Gr 6_Holt 07.27.11_v1 Page | 1

Mathematics Pacing Guide

6th Grade Holt

MILWAUKEE

PUBLIC SCHOOLS


Mathematics Pacing Guide: Holt

Grade 6

Common Core State Standards for Mathematics

Program Materials Formative Assessments

Summative Assessments

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Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions. Standards: 6.EE.1 6.EE.2 6.EE.3 6.EE.4 Cluster: Reason about and solve one-variable equations and inequalities. Standards: 6.EE.5 6.EE.6 6.EE.7

Chapter 1- Section 1: Comparing and Ordering Whole Numbers Chapter 1- Section 2: Estimating with Whole Numbers Chapter 1- Section 3: Exponents Chapter 1- Section 4: Order of Operations Chapter 1- Section 5: Mental Math Chapter 1- Section 6: Choose the Method of Computation Chapter 1- Section 7: Patterns and Sequences Chapter 2- Section 1: Variables and Expressions Chapter 2- Problem-Solving 2-1 Chapter 2- Section 2: Translate Between Words and Math Chapter 2- Problem-Solving 2-2 Chapter 2- Section 3 Translating Between Tables and Expressions Chapter 2- Hands-On Lab Supplement- Explore Area and Perimeter of Rectangles: Page 8 Chapter 2- Section 4: Equations and Their Solutions Chapter 2- Problem-Solving 2-4

Classroom Assessments Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: www.mmp.uwm.edu 6.EE.1 CABS Grade 7 Algebra #13a 6.EE.3 CABS Grade 5 Algebra #14, 15 Grade 6 Algebra #10 6.EE.5 CABS Grade 5 Algebra #2, 3, 4, 5, 6, 7, 8 Grade 6 Algebra #7 6.EE.6 CABS Grade 7 Algebra #4a, 4b, 4c

Teachers should select items that cover a range of cognitive demand levels for a "balanced summative assessment". Include only those items which support the mathematics taught. Choose items from the following resources or from other sources as appropriate: Ready To Go On Quizzes and Chapter Tests, the Assessment Resource Book (multiple choice, free response, and performance assessments), and the ExamView Test Generator.

http://www.mmp.uwm.edu/



Grade 6


Program Materials Formative Assessments Summative Assessments

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Cluster: Reason about and solve one-variable equations and inequalities. Standards: 6.EE.5 6.EE.6 6.EE.7 6.EE.8 Cluster: Represent and analyze quantitative relationships between dependent and independent variables. Standard: 6.EE.9 Cluster: Apply and extend previous understandings of numbers to the system of rational numbers. Standards: 6.NS.5 6.NS.6 6.NS.7 6.NS.8

Chapter 2- Section 5: Addition Equations Chapter 2- Hands-On Lab Supplement- Solving Addition Equations: Page 10 Chapter 2- Section 6: Subtraction Equations Chapter 2- Section 7: Multiplication Equations Chapter 2- Hands-On Lab Supplement- Solving Multiplication Equations: Page 12 Chapter 2- Section 8: Division Equations Chapter 2- Extension: Inequalities Pages 90-91 Skills Bank- Absolute Value and Solve Two-Step Equations: Page 762 Chapter 11- Section 1: Integers and Real-World Situations Chapter 11- Problem-Solving 11-1 Chapter 11- Section 2: Comparing and Ordering Integers Chapter 11- Hands-On Lab Supplement- Ordering Integers: Page 159 Chapter 11- Section 3: The Coordinate Plane Alternate Opener 11-3 Chapter 11- Section 4: Adding Integers

Classroom Assessments Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: www.mmp.uwm.edu 6.EE.5 CABS Grade 5 Algebra #2, 3, 4, 5, 6, 7, 8 Grade 6 Algebra #7 6.EE.6 CABS Grade 7 Algebra #4a, 4b, 4c 6.EE.9 CABS Grade 6 Algebra #3, 5 Grade 7 Algebra #3a, 3b, 3c, 6a, 6b, 6c, 6d 6.NS.6 CABS Grade 5 Geometry #5, 6, 7 Grade 7 Number Operations and Relationships #5





Grade 6



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Cluster: Represent and analyze quantitative relationships between dependent and independent variables. Standard: 6.EE.9 Cluster: Compute fluently with multi-digit numbers and find common factors and multiples. Standards: 6.NS.2 6.NS.3

Chapter 11- Hands-on Lab 11-4 – Model Integer Addition Chapter 11- Section 5: Subtracting Integers Chapter 11- Hands-on Lab 11-5 – Model Integer Subtraction Chapter 11- Section 6: Multiplying Integers Chapter 11- Section 7: Dividing Integers Chapter 11- Section 8: Solving Integer Equations Chapter 11- Section 9: Tables and Functions Skills Bank- Divide Whole Numbers and Divide with Zeros in the Quotient: Page 754 Chapter 3- Section 1: Representing, Comparing, and Ordering Decimals Chapter 3- Section 2: Estimating Decimals Chapter 3- Section 3: Adding and Subtracting Decimals Chapter 3- Hands-on Lab 3-3 – Explore Decimal Addition and Subtraction Chapter 3- Section 5: Multiplying Decimals Chapter 3- Section 6: Dividing Decimals by Whole Numbers Chapter 3- Section 7: Dividing by Decimals Chapter 3- Hands-on Lab 3-5 – Explore Decimal Multiplication and Division Chapter 3- Section 8: Interpret the Quotient

Classroom Assessments Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: www.mmp.uwm.edu 6.EE.9 CABS Grade 6 Algebra #3, 5 Grade 7 Algebra #3a, 3b, 3c, 6a, 6b, 6c, 6d 6.NS.2 CABS Grade 5 Number Operations and Relationships #2,3 6.NS.3 CABS Grade 6 Number Operations and Relationships #3, 4, 6a, 6b, 11





Grade 6



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Cluster: Reason about and solve one-variable equations and inequalities. Standard: 6.EE.5 Cluster: Compute fluently with multi-digit numbers and find common factors and multiples. Standard: 6.NS.4

Chapter 3- Section 9: Solving Decimal Equations Chapter 4- Section 1: Divisibility Chapter 4- Hands-on Lab 4-2 – Explore Factors Chapter 4- Section 2: Factors and Prime Factorization Chapter 4- Section 3: Greatest Common Factor Chapter 4- Section 4: Decimals and Fractions Chapter 4- Hands-on Lab 4-4 – Explore Decimals and Fractions Chapter 4- Section 5: Equivalent Fractions Chapter 4- Hands-on Lab 4-5 – Model Equivalent Fractions Chapter 4- Section 6: Mixed Numbers and Improper Fractions Chapter 4- Section 7: Comparing and Ordering Fractions Chapter 4- Section 8: Adding and Subtracting with Like Denominators

Classroom Assessments Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: www.mmp.uwm.edu 6.EE.5 CABS Grade 5 Algebra #2, 3, 4, 5, 6, 7, 8 Grade 6 Algebra #7

6.NS.4 CABS Grade 5- Algebra #14 Grade 6 Number Operations and Relationships #9a, 9b





Grade 6




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Cluster: Compute fluently with multi-digit numbers and find common factors and multiples. Standard: 6.NS.4 Cluster: Apply and extend previous understandings of multiplication and division to divide fractions by fractions. Standard: 6.NS.1

Chapter 5- Section 1: Least Common Multiple Chapter 5- Section 2: Adding and Subtracting with Unlike Denominators Chapter 5- Hands-on Lab 5-2 – Model Fraction Addition and Subtraction Chapter 5- Section 3: Adding and Subtracting Mixed Numbers Chapter 5- Section 4: Regrouping to Subtract Mixed Numbers Chapter 5- Hands-on Lab 5-4 – Model Subtraction with Regrouping Chapter 5- Section 5: Solving Fraction Equations: Addition and Subtraction Chapter 5- Section 6: Multiplying Fractions by Whole Numbers Chapter 5- Section 7: Multiplying Fractions Chapter 5- Hands-on Lab 5-7 – Model Fraction Multiplication Chapter 5- Section 8: Multiplying Mixed Numbers Chapter 5- Section 9: Dividing Fractions and Mixed Numbers Chapter 5- Problem-Solving 5-9 Chapter 5- Hands-on Lab 5-9 – Model Fraction Division Chapter 5- Section 10: Solving Fraction Equations: Multiplication and Division

Classroom Assessments Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: www.mmp.uwm.edu 6.NS.4 CABS Grade 5- Algebra #14 Grade 6 Number Operations and Relationships #9a, 9b 6.NS.1 CABS Grade 6 Number Operations and Relationships #5a, 7, 12a, 12b





Grade 6




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Cluster: Understand ratio concepts and use ratio reasoning to solve problems. Standards: 6.RP.1 6.RP.2 6.RP.3

Chapter 7- Section 1: Ratios and Rates Alternate Opener 7-1 Chapter 7- Problem-Solving 7-1 Chapter 7- Section 2: Using Tables to Explore Equivalent Ratios and Rates Chapter 7- Section 3: Proportions Chapter 7- Hands-on Lab 7-3 – Explore Proportions Chapter 7- Section 4: Similar Figures Alternate Opener 7-4 Chapter 7- Hands-On Lab Supplement- Measuring Similar Figures: Page 70 Chapter 7- Section 5: Indirect Measurement Chapter 7- Section 6: Scale Drawings and Maps Chapter 7- Section 7: Percents Chapter 7- Hands-on Lab 7-7 – Model Percents Chapter 7- Section 8: Percents, Decimals, and Fractions Chapter 7- Section 9: Percent Problems Chapter 7- Section 10: Using Percents

Classroom Assessments Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: www.mmp.uwm.edu 6.RP.1 CABS Grade 8 "Three Brothers" 6.RP.3 CABS Grade 6 Number Operations and Relationships #7, 12a, 12b





Grade 6




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Cluster: Understand ratio concepts and use ratio reasoning to solve problems. Standard: 6.RP.3 Cluster: Solve real-world and mathematical problems involving area, surface area, and volume. Standard: 6.G.3

Chapter 9- Section 1: Understanding Customary Units of Measure Chapter 9- Section 3: Converting Customary Units Chapter 9- Hands-On Lab Supplement- Converting Customary Units: Page 111 Skills Bank- Compare Units: Page 769 Chapter 8- Section 1: Building Blocks of Geometry Chapter 8- Section 2: Measuring and Classifying Angles Chapter 8- Section 3: Angle Relationships Chapter 8- Section 4: Classifying Lines Chapter 8- Section 5: Triangles Chapter 8- Section 6: Quadrilaterals Chapter 8- Section 7: Polygons Chapter 9- Section 6: Finding Angle Measures in Polygons Chapter 9- Section 7: Perimeter Chapter 9- Section 8: Circles and Circumference Chapter 8- Section 8: Geometric Patterns Chapter 8- Section 9: Congruence Chapter 8- Section 10: Transformations Chapter 8- Hands-on Lab 8-10 – Transformations in the Coordinate Plane Chapter 8- Hands-On Lab Supplement- Transformations in the Coordinate Plane: Page 93

Classroom Assessments Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: www.mmp.uwm.edu 6.RP.3 CABS Grade 6 Number Operations and Relationships #7, 12a, 12b 6.G.3 CABS Grade 5 Geometry #5a, 5b, 5c, 6a, 6b, 7 Grade 7 Geometry #5





Grade 6




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Cluster: Solve real-world and mathematical problems involving area, surface area, and volume. Standards: 6.G.1 6.G.2 6.G.4

Chapter 10- Section 1: Estimating and Finding Area Chapter 10- Hands-On Lab Supplement- Estimating and Finding Area: Page 126 Chapter 10- Section 2: Area of Triangles and Trapezoids Chapter 10- Section 3: Area of Composite Figures Chapter 10- Section 4: Comparing Perimeter and Area Chapter 10- Section 5: Area of Circles Chapter 10- Section 6: Three-Dimensional Figures Chapter 10- Hands-on Lab 10-6 – Draw Views of Three-Dimensional Figures Chapter 10- Section 7: Volume of Prisms Chapter 10- Hands-on Lab 10-7 – Explore Volumes of Prisms and Cylinders Chapter 10- Section 9: Surface Area Chapter 10- Hands-on Lab 10-9 – Model Three-Dimensional Figures

Classroom Assessments Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: www.mmp.uwm.edu 6.G.1 CABS Grade 7 Measuring #1b and #7 6.G.1 Grade 7 CR : “Triangles” Grade 5 CR: “Right Triangles in a Rectangle” 6.G.4 CABS Grade 5 Geometry #3, 9 Grade 6 Geometry #2, 6





Grade 6




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Cluster: Develop understanding of statistical variability. Standards: 6.SP.1 6.SP.2 6.SP.3 Cluster: Summarize and describe distributions. Standards: 6.SP.4 6.SP.5

Chapter 6- Section 1: Make a Table Chapter 6- Section 2: Mean, Median, Mode, and Range Chapter 6- Hands-on Lab 6-2 – Collect Data to Explore Mean Chapter 6- Hands-On Lab Supplement- Using Range, Mean, Median, and Mode: Page 52 Chapter 6- Section 3: Additional Data and Outliers Chapter 6- Section 4: Bar Graphs Chapter 6- Section 5: Line Plots, Frequency Tables, and Histograms Chapter 6- Hands-on Lab 6-5 – Use a Survey to Collect Data Chapter 6- Section 6: Ordered Pairs Chapter 6- Section 7: Line Graphs Chapter 6- Section 8: Misleading Graphs Chapter 6- Section 9: Stem and Leaf Plots Chapter 6- Section 10: Choosing an Appropriate Display Chapter 6- Hands-On Lab Supplement- Multiple Representations of Data: Page 63 Chapter 12- Section 1: Introduction to Probability Chapter 12- Section 2: Experimental Probability Chapter 12- Hands-on Lab 12-2 – Simulations Chapter 12- Section 3: Counting Methods and Sample Spaces Chapter 12- Hands-On Lab Supplement- Sampling and Surveying: Page 183 Chapter 12- Section 4: Theoretical Probability Chapter 12- Section 5: Compound Events Chapter 12- Section 6: Making Predictions

Classroom Assessments Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: www.mmp.uwm.edu 6.SP.1-3 CABS Grade 8 “Reading Survey” 6.SP.4 CABS Grade 8 “Box Plot” Grade 8 “Histogram” 6.SP.5 CABS Grade 6 Statistics and Probability #1





Grade 6

Note: It is the pacing authors’ opinion that of the 29 Common Core State Standards for Grade 6 mathematics, there are four standards which lack depth in the Holt textbook:

6.NS.7c in the Number System domain is only partially addressed as it merely appears in the Skills Bank activity on page 762 and does not provide students with enough opportunities to explore absolute value.

6.NS.8 in the Number System domain comprehensively addresses graphing points in all four quadrants of the coordinate plane save for providing students with the opportunity to use absolute value to find distances between points.

6.G.3 in the Geometry domain comprehensively addresses the standard save for providing students with the opportunity to use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.

6.SP.1 in the Statistics and Probability domain is only partially addressed as it simply appears in Hands-On Lab 6-5 and does not provide students with enough opportunities to exam the proper development of statistical questions.

Note: It is the pacing authors’ opinion that of the 29 Common Core State Standards for Grade 6 mathematics, only standard 6.NS.7d in the Number System domain is not addressed in the Holt textbook.

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PUBLIC SCHOOLS - University of Wisconsin–Milwaukee · PUBLIC SCHOOLS . Math_Pacing Guide Gr ... Chapter 1- Section 3: ... Order of Operations Chapter 1- Section 5: Mental Math Chapter